If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2
a
8
b
24
c
27
d
81
e
648
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ProfNat
7 months ago
Here is the correct solution:
Given:
t varies inversely as the cube of s
⇒
Step 1: Find k using the given values
When and :
24 = \frac{k}{3^3} = \frac{k}{27}
k = 24 \times 27 = 648
Step 2: Find t when s = 2
t = \frac{648}{2^3} = \frac{648}{8} = 81
✅ Correct answer: 81
